Test of the stability of two-dimensional Taylor-Couette flow

由于要到国外担任临时职务，首席研究员已将这个项目暂时搁置。在此之前，人们构建了许多不同的二维Couette几何形状，以便能够探索大范围的雷诺数（相当于泰勒数）来测试流动的稳定性。除了光滑的墙壁外，还建造了粗糙的墙壁。对于测试的平滑情况，流是稳定的。此外，还进行了二维通道流动的实验（肥皂膜）和模拟（OpenFOAM）来研究该流动的稳定性，并与三维情况进行了比较。正如在其他研究中观察到的那样，一种奇特的行波出现了，让人联想到蛇。实验和数值研究了波长对雷诺数的依赖关系。

The principal investigator has placed this project on temporary hold due to leaving for a temporary position abroad. Up until that time, a number of different 2D Couette geometries were constructed, to be able to explore a wide range of Reynolds numbers (equivalently, Taylor numbers) to test for stability of the flow. In addition to smooth walls, rough walls were also constructed. For the smooth cases tested, the flow is stable. In addition, experiments (soap film) and simulations (OpenFOAM) of 2D channel flow were performed to investigate the stability of that flow and to compare with the 3D case. As observed in other studies, a peculiar traveling wave, reminiscent of a snake, emerges. The Reynolds number dependence of the wavelength was investigated experimentally and numerically.